Construction of equivalents of large equations systems of electrical network based on matrix annulators

Construction of equivalents of large equations systems of electrical network based on matrix annulators

An original method of reducing the equations of node voltages is proposed with the aim of equivalence of the electric network. The method is based on the matrix transformations of the indicated equations with the help of matrix annulators. It is shown that this method, in comparison with the traditi...

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Main Authors: Gadzhiev Magomed, Misrikhanov Misrikhan, Ryabchenko Vladimir, Sharov Yuriy
Format: Article
Language:English
Published: EDP Sciences 2017-01-01
Series:E3S Web of Conferences
Online Access:https://doi.org/10.1051/e3sconf/20172503002
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spelling doaj-f67ab0cabf5f4a6eb5ac787fc0288ea12021-02-02T07:45:59ZengEDP SciencesE3S Web of Conferences2267-12422017-01-01250300210.1051/e3sconf/20172503002e3sconf_rses2017_03002Construction of equivalents of large equations systems of electrical network based on matrix annulatorsGadzhiev MagomedMisrikhanov MisrikhanRyabchenko VladimirSharov YuriyAn original method of reducing the equations of node voltages is proposed with the aim of equivalence of the electric network. The method is based on the matrix transformations of the indicated equations with the help of matrix annulators. It is shown that this method, in comparison with the traditional one, makes it possible to improve the conditionality of the solved equations by an order of magnitude or more. This has a significant effect on the numerical stability of the resulting electrical network equivalents. The results of reduction of a small, large, and very large system of nodal stress equations are presented.https://doi.org/10.1051/e3sconf/20172503002
collection DOAJ
language English
format Article
sources DOAJ
author Gadzhiev Magomed
Misrikhanov Misrikhan
Ryabchenko Vladimir
Sharov Yuriy
spellingShingle Gadzhiev Magomed
Misrikhanov Misrikhan
Ryabchenko Vladimir
Sharov Yuriy
Construction of equivalents of large equations systems of electrical network based on matrix annulators
E3S Web of Conferences
author_facet Gadzhiev Magomed
Misrikhanov Misrikhan
Ryabchenko Vladimir
Sharov Yuriy
author_sort Gadzhiev Magomed
title Construction of equivalents of large equations systems of electrical network based on matrix annulators
title_short Construction of equivalents of large equations systems of electrical network based on matrix annulators
title_full Construction of equivalents of large equations systems of electrical network based on matrix annulators
title_fullStr Construction of equivalents of large equations systems of electrical network based on matrix annulators
title_full_unstemmed Construction of equivalents of large equations systems of electrical network based on matrix annulators
title_sort construction of equivalents of large equations systems of electrical network based on matrix annulators
publisher EDP Sciences
series E3S Web of Conferences
issn 2267-1242
publishDate 2017-01-01
description An original method of reducing the equations of node voltages is proposed with the aim of equivalence of the electric network. The method is based on the matrix transformations of the indicated equations with the help of matrix annulators. It is shown that this method, in comparison with the traditional one, makes it possible to improve the conditionality of the solved equations by an order of magnitude or more. This has a significant effect on the numerical stability of the resulting electrical network equivalents. The results of reduction of a small, large, and very large system of nodal stress equations are presented.
url https://doi.org/10.1051/e3sconf/20172503002
work_keys_str_mv AT gadzhievmagomed constructionofequivalentsoflargeequationssystemsofelectricalnetworkbasedonmatrixannulators
AT misrikhanovmisrikhan constructionofequivalentsoflargeequationssystemsofelectricalnetworkbasedonmatrixannulators
AT ryabchenkovladimir constructionofequivalentsoflargeequationssystemsofelectricalnetworkbasedonmatrixannulators
AT sharovyuriy constructionofequivalentsoflargeequationssystemsofelectricalnetworkbasedonmatrixannulators
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